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{\bf Math 165: Honors Calculus I}
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{\bf Quiz 3}\quad {\sl September 16, 1999}

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\item Define the following:

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  \item A step function $s$ on $[a,b]$.
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  \item $\int_a^b s(x)\,dx$ where $s$ is a step function on $[a,b]$.
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  \end{enumerate}

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\item Calculate $\int_0^{5} \Big[\sqrt{2x}\Big]\,dx$
(where $[z]$ denotes the greatest integer less than or equal to $z$).

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\item State and prove the Additivity with Respect to Intervals Property
for integrals of step functions.

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